Compact operators on homogeneous Banach spaces of distributions on locally compact abelian groups (Q1434305)

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scientific article; zbMATH DE number 2078270
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Compact operators on homogeneous Banach spaces of distributions on locally compact abelian groups
scientific article; zbMATH DE number 2078270

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    Compact operators on homogeneous Banach spaces of distributions on locally compact abelian groups (English)
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    7 July 2004
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    The author discusses the Fourier series and Fourier transform of an operator on a homogeneous Banach space of distributions on a locally compact abelian group. His results generalize the results of deLeeuw on the F. and M. Riesz theorems for operators on homogeneous Banach spaces of functions on the circle group.
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    locally compact Abelian groups
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    homogeneous Banach spaces of distributions
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    almost invariant operators and compact operators.
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